Limiting properties of the second order Ginzburg-Landau minimizers

DOI10.1016/J.CAM.2007.03.012zbMath1193.35027OpenAlexW2061885193MaRDI QIDQ2479413

Yutian Lei

Publication date: 26 March 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.03.012

zbMATH Keywords

radial minimizerlocation of zeros and the blow-up pointssecond order energy functional

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and partial regularity in the calculus of variations
• Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition
• The morphology and folding patterns of buckling-driven thin-film blisters
• Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
• Nonlinear continuum theory of smectic-\(A\) liquid crystals
• Singular perturbation and the energy of folds
• Line energies for gradient vector fields in the plane
• A compactness result in the gradient theory of phase transitions
• On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields
• A Γ‐convergence result for the two‐gradient theory of phase transitions
• Ginzburg-Landau vortices

This page was built for publication: Limiting properties of the second order Ginzburg-Landau minimizers